{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Active Subspaces Example Function: Borehole Water Flow\n",
    "\n",
    "##### Ryan Howard, CO School of Mines, <ryhoward@mines.edu>\n",
    "##### Paul Constantine, CO School of Mines, <pconstan@mines.edu>\n",
    "\n",
    "<br>\n",
    "\n",
    "In this tutorial, we'll be demonstrating active subspaces on the function\n",
    "\n",
    "$$\n",
    "f = \\frac{2\\pi T_u(H_u-H_l)}{\\ln (r/r_w)\\left(1+\\frac{2LT_u}{\\ln(r/r_w)r_w^2K_w}+\\frac{T_u}{T_l}\\right)},\n",
    "$$\n",
    "\n",
    "as seen on [http://www.sfu.ca/~ssurjano/borehole.html](http://www.sfu.ca/~ssurjano/borehole.html). This function describes water flow through a borehole, and its inputs and their distributions are described in the table below.\n",
    "\n",
    "Variable|Symbol|Distribution (U(min, max), N(mu, sigma), or LN(mu, sigma))\n",
    ":-----|:-----:|:-----\n",
    "radius of borehole|$r_w$|N(.1, 0.0161812)\n",
    "radius of influence|$r$|LN(7.71, 1.0056)\n",
    "transmissivity of upper aquifer|$T_u$|U(63070, 115600)\n",
    "potentiometric head of upper aquifer|$H_u$|U(990, 1110)\n",
    "transmissivity of lower aquifer|$T_l$|U(63.1, 116)\n",
    "potentiometric head of lower aquifer|$H_l$|U(700, 820)\n",
    "length of borehole|$L$|U(1120, 1680)\n",
    "hydraulic conductivity of borehole|$K_w$|U(9855, 12045)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import active_subspaces as ac\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "# The borehole_functions.py file contains two functions: the borehole function (borehole(xx))\n",
    "# and its gradient (borehole_grad(xx)). Each takes an Mx8 matrix (M is the number of data\n",
    "# points) with rows being normalized inputs; borehole returns a column vector of function\n",
    "# values at each row of the input and borehole_grad returns a matrix whose ith row is the\n",
    "# gradient of borehole at the ith row of x with respect to the normalized inputs\n",
    "from borehole_functions import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we draw M samples randomly from the input space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "M = 1000 #This is the number of data points to use\n",
    "\n",
    "#Sample the input space according to the distributions in the table above\n",
    "rw = np.random.normal(.1, .0161812, (M, 1))\n",
    "r = np.exp(np.random.normal(7.71, 1.0056, (M, 1)))\n",
    "Tu = np.random.uniform(63070, 115600, (M, 1))\n",
    "Hu = np.random.uniform(990, 1110, (M, 1))\n",
    "Tl = np.random.uniform(63.1, 116, (M, 1))\n",
    "Hl = np.random.uniform(700, 820, (M, 1))\n",
    "L = np.random.uniform(1120, 1680, (M, 1))\n",
    "Kw = np.random.uniform(9855, 12045, (M, 1))\n",
    "\n",
    "#the input matrix\n",
    "x = np.hstack((rw, r, Tu, Hu, Tl, Hl, L, Kw))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we normalize the sampled values of the input parameters. The uniform inputs are linearly scaled to the interval $[-1, 1]$, normal inputs are scaled like $\\frac{x-\\mu}{\\sigma}$, and logs of lognormal inputs are scaled like normal inputs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Upper and lower limits for uniform-bounded inputs\n",
    "xl = np.array([63070, 990, 63.1, 700, 1120, 9855])\n",
    "xu = np.array([115600, 1110, 116, 820, 1680, 12045])\n",
    "\n",
    "#XX = normalized input matrix\n",
    "XX = ac.utils.misc.BoundedNormalizer(xl, xu).normalize(x[:, 2:])\n",
    "\n",
    "#normalize non-uniform inputs\n",
    "rw_norm = ((rw - .1)/.0161812).reshape(M, 1)\n",
    "r_norm = np.log(r); r_norm = ((r_norm - 7.71)/1.0056).reshape(M, 1)\n",
    "\n",
    "XX = np.hstack((rw_norm, r_norm, XX))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute gradients at the normalized input values to approximate the matrix on which the active subspace is based."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#output values (f) and gradients (df)\n",
    "f = borehole(XX)\n",
    "df = borehole_grad(XX)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our gradient samples to compute the active subspace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Set up our subspace using the gradient samples\n",
    "ss = ac.subspaces.Subspaces()\n",
    "ss.compute(df=df, nboot=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use plotting utilities to plot eigenvalues, subspace error, components for the first two eigenvectors, and 1D and 2D sufficient summary plots (plots of function values vs. active variable values)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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Yx3/xxRdMnTo1coGMiZCoK5gi4hWRtSLSt9i+WBF5UUT2iMh2EbnvZD+vqtP4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\nl8n8UQmpD6Cs2RNS3pCyQlh5M5G1pKSElStXNrp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106bf1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7U7t2bQICAnBzc3vqkZA2bdrw1ltvyRyXE7tw4QLLli3j4MGDNGnShHfeeYdn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\n2MyeBb4DfC8vAReAONQ4GqI+RC/u8YP60JKOOuoo/vvf//Lhhx/WOaa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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106ae650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V9cEHHxw7a8wtAt1/qsrrr7/OqFGjGDx4MI888gixsbEORl5+btx//pzI7+DB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\nFSn9LRtePAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113845210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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//HHvdKHqc5CedMYcj+jOBxER6W1BEDB37rPs2PE/WAIES2xvk9qaxngPYIXF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\nSKeFe4u33/4iAEOG9MV9LhMnjmHlykH1RoRhQ/8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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113845f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Bl56WjZ01FT4sxSenumNlY8WGnruRUuJROScP7j0w+2wtNzc3enzYg88HgsGQ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\nNtfsRyacAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1138a6f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Component labels\n",
    "in_labels = ['rw', 'r', 'Tu', 'Hu', 'Tl', 'Hl', 'L', 'Kw']\n",
    "\n",
    "#plot eigenvalues, subspace errors\n",
    "ac.utils.plotters.eigenvalues(ss.eigenvals, ss.e_br)\n",
    "ac.utils.plotters.subspace_errors(ss.sub_br)\n",
    "\n",
    "#manually make the subspace 2D for the eigenvector and 2D summary plots\n",
    "ss.partition(2)\n",
    "#Compute the active variable values\n",
    "y = XX.dot(ss.W1)\n",
    "\n",
    "#Plot eigenvectors, sufficient summaries\n",
    "ac.utils.plotters.eigenvectors(ss.W1, in_labels=in_labels)\n",
    "ac.utils.plotters.sufficient_summary(y, f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The eigenvalue plot shows a large drop between the first and second eigenvalues; this indicates the presence of a 1D active subspace. The large gap in eigenvalues means the subspace error will be low in the 1D case, as shown in the subspace distance plot. The sufficient summary plots do indeed show a tight univariate trend in the active variable, confirming the existence of a 1D active subspace."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
